Metamath Proof Explorer


Table of Contents - 10.3.14. Categories of rings

  1. The category of non-unital rings
    1. crngc
    2. df-rngc
    3. rngcval
    4. rnghmresfn
    5. rnghmresel
    6. rngcbas
    7. rngchomfval
    8. rngchom
    9. elrngchom
    10. rngchomfeqhom
    11. rngccofval
    12. rngcco
    13. dfrngc2
    14. rnghmsscmap2
    15. rnghmsscmap
    16. rnghmsubcsetclem1
    17. rnghmsubcsetclem2
    18. rnghmsubcsetc
    19. rngccat
    20. rngcid
    21. rngcsect
    22. rngcinv
    23. rngciso
    24. rngcifuestrc
    25. funcrngcsetc
    26. funcrngcsetcALT
    27. zrinitorngc
    28. zrtermorngc
    29. zrzeroorngc
  2. The category of (unital) rings
    1. cringc
    2. df-ringc
    3. ringcval
    4. rhmresfn
    5. rhmresel
    6. ringcbas
    7. ringchomfval
    8. ringchom
    9. elringchom
    10. ringchomfeqhom
    11. ringccofval
    12. ringcco
    13. dfringc2
    14. rhmsscmap2
    15. rhmsscmap
    16. rhmsubcsetclem1
    17. rhmsubcsetclem2
    18. rhmsubcsetc
    19. ringccat
    20. ringcid
    21. rhmsscrnghm
    22. rhmsubcrngclem1
    23. rhmsubcrngclem2
    24. rhmsubcrngc
    25. rngcresringcat
    26. ringcsect
    27. ringcinv
    28. ringciso
    29. ringcbasbas
    30. funcringcsetc
    31. zrtermoringc
    32. zrninitoringc
  3. Subcategories of the category of rings
    1. srhmsubclem1
    2. srhmsubclem2
    3. srhmsubclem3
    4. srhmsubc
    5. sringcat
    6. crhmsubc
    7. cringcat
    8. rngcrescrhm
    9. rhmsubclem1
    10. rhmsubclem2
    11. rhmsubclem3
    12. rhmsubclem4
    13. rhmsubc
    14. rhmsubccat